Given that x 3 y and 7 x 3 y are like terms- then the sum of these two terms isA- 6 x3 yB- 11 x3 y- 8 x 3 yD- 4 x 3 y

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Standard IX

Mathematics

Polynomial Expressions

Given that x ...

Question

Given that $x^{3} y$ and $7 x^{3} y$ are like terms, then the sum of these two terms is _____.

$11 x^{3} y$

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$8 x^{3} y$

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$4 x^{3} y$

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$6 x^{3} y$

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Solution

The correct option is B
$8 x^{3} y$

$x^{3} y$ and $7 x^{3} y$ are like terms. Thus, they can be added to give a single term. The coefficient of the single term will be 1+7 = 8 and the variable component of the term remains as it is.
Hence their sum is $8 x^{3} y$ .

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In the given expression,
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Which of the following are like terms?

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Given that x3y and 7x3y are like terms, then the sum of these two terms is _____.

The correct option is B 8x3y​ x3y and 7x3y are like terms. Thus, they can be added to give a single term. The coefficient of the single term will be 1+7 = 8 and the variable component of the term remains as it is. Hence their sum is 8x3y.

Given that $x^{3} y$ and $7 x^{3} y$ are like terms, then the sum of these two terms is _____.

The correct option is B
$8 x^{3} y$

$x^{3} y$ and $7 x^{3} y$ are like terms. Thus, they can be added to give a single term. The coefficient of the single term will be 1+7 = 8 and the variable component of the term remains as it is.
Hence their sum is $8 x^{3} y$ .